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643286256 = 24317279587
BaseRepresentation
bin100110010101111…
…100010011110000
31122211110022211220
4212111330103300
52304140130011
6143455505040
721640562064
oct4625742360
91584408756
10643286256
11300133538
1215b528180
13a3373172
1461613aa4
153b71d506
hex2657c4f0

643286256 has 120 divisors (see below), whose sum is σ = 1790718720. Its totient is φ = 198921216.

The previous prime is 643286219. The next prime is 643286257. The reversal of 643286256 is 652682346.

It is a happy number.

643286256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643286257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095595 + ... + 1096181.

It is an arithmetic number, because the mean of its divisors is an integer number (14922656).

Almost surely, 2643286256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643286256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895359360).

643286256 is an abundant number, since it is smaller than the sum of its proper divisors (1147432464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

643286256 is a wasteful number, since it uses less digits than its factorization.

643286256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 643286256 is about 25363.0884554701. The cubic root of 643286256 is about 863.2463635685.

The spelling of 643286256 in words is "six hundred forty-three million, two hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 289 316 408 474 578 587 632 816 867 948 1156 1174 1264 1343 1734 1761 1896 2312 2348 2686 3468 3522 3792 4029 4624 4696 5372 6936 7044 8058 9392 9979 10744 13872 14088 16116 19958 21488 22831 28176 29937 32232 39916 45662 46373 59874 64464 68493 79832 91324 92746 119748 136986 139119 159664 169643 182648 185492 239496 273972 278238 339286 365296 370984 478992 508929 547944 556476 678572 741968 788341 1017858 1095888 1112952 1357144 1576682 2035716 2225904 2365023 2714288 3153364 4071432 4730046 6306728 8142864 9460092 12613456 13401797 18920184 26803594 37840368 40205391 53607188 80410782 107214376 160821564 214428752 321643128 643286256